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Perturbation Raman spectroscopy has underscored the hydrogen bond (O:H–O or HB) cooperativity and polarizability (HBCP) for water, which offers a proper parameter space for the performance of the HB and electrons in the energy-space-time domains. The O O repulsive coupling drives the O:H–O segmental length and energy to relax cooperatively upon perturbation. Mechanical compression shortens and stiffens the O:H nonbond while lengthens and softens the H O bond associated with polarization. However, electrification by an electric field or charge injection, or molecular undercoordination at a surface, relaxes the O:H–O in a contrasting way to the compression with derivation of the supersolid phase that is viscoelastic, less dense, thermally diffusive, and mechanically and thermally more stable. The H O bond exhibits negative thermal expansivity in the liquid and the ice-I phase while its length responds in proportional to temperature in the quasisolid phase. The O:H–O relaxation modifies the mass densities, phase boundaries, critical temperatures and the polarization endows the slipperiness of ice and superfluidity of water at the nanometer scale. Protons injection by acid solvation creates the H↔H anti-HB and introduction of electron lone pairs derives the O:⇔:O super-HB into the solutions of base or H 2 O 2 hydrogen-peroxide. The repulsive H↔H and O:⇔:O interactions lengthen the solvent H O bond while the solute H O bond contracts because its bond order loss. Differential phonon spectroscopy quantifies the abundance, structure order, and stiffness of the bonds transiting from the mode of pristine water to the perturbed states. The HBCP and the perturbative spectroscopy have enabled the dynamic potentials for the relaxing O:H–O bond. Findings not only amplified the power of the Raman spectroscopy but also substantiated the understanding of anomalies of water subjecting to perturbation. Scaling relations for the HBCP of the (a) measured segmental length and the (b) computed H O vibration frequency. [Display omitted] • O O repulsion couples the intramolecular H O and intermolecular O:H interactions. • O:H–O segmental length, energy, frequency, and specific heat parameterize water ice. • Mechanical compression shortens the O:H and lengthens the H O and polarizes water. • Electrification or molecular undercoordination effects contrastingly to compression. • DPS distills the abundance-order-stiffness transition of O:H–O driven by perturbation. [ABSTRACT FROM AUTHOR]